| Base | Representation |
|---|---|
| bin | 111101001011101010… |
| … | …1111011000110111001 |
| 3 | 110120010122221100000000 |
| 4 | 1322113111323012321 |
| 5 | 4123040330010000 |
| 6 | 140205303303213 |
| 7 | 12330630432561 |
| oct | 1722725730671 |
| 9 | 416118840000 |
| 10 | 131388125625 |
| 11 | 507a3198499 |
| 12 | 2156974ab09 |
| 13 | c50b656543 |
| 14 | 65059a9da1 |
| 15 | 363eb60000 |
| hex | 1e9757b1b9 |
131388125625 has 135 divisors (see below), whose sum is σ = 247644838441. Its totient is φ = 69682194000.
The previous prime is 131388125569. The next prime is 131388125629. The reversal of 131388125625 is 526521883131.
The square root of 131388125625 is 362475.
It is a perfect power (a square), and thus also a powerful number.
131388125625 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 8 + 12 + 5 + 625 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10300829049 + 121087296576 = 101493^2 + 347976^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a de Polignac number, because none of the positive numbers 2k-131388125625 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (131388125629) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 734011786 + ... + 734011964.
Almost surely, 2131388125625 is an apocalyptic number.
131388125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
131388125625 is the 362475-th square number.
131388125625 is the 181238-th centered octagonal number.
It is an amenable number.
131388125625 is a deficient number, since it is larger than the sum of its proper divisors (116256712816).
131388125625 is an frugal number, since it uses more digits than its factorization.
131388125625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 402 (or 187 counting only the distinct ones).
The product of its digits is 345600, while the sum is 45.
The spelling of 131388125625 in words is "one hundred thirty-one billion, three hundred eighty-eight million, one hundred twenty-five thousand, six hundred twenty-five".
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